Answer
Answer C
Work Step by Step
Spot two points:
$(0,3)\rightarrow (x_1,y_1)$
$(1,4)\rightarrow (x_2,y_2)$
Use point-slope form to find the slope:
$m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-3}{1-0}=1$
$y-y_1=m(x-x_1)$
$y-3=1(x-0)$
$y=x+3$
The boundary line is dashed, so the inequality symbol is either $\lt$ or $\gt$. The symbol must be $\lt$, because the region below the boundary line is shaded. The inequality is:
$y \lt x+3$
$x-y \gt -3$
The correct answer is C.
